48345800832000
48,345,800,832,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48345800832000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
48345800832000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 48345800832000:
210 × 33 × 53 × 7 × 61 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 61 × 181 × 181)See below for interesting mathematical facts about the number 48345800832000 from the Numbermatics database.
Names of 48345800832000
- Cardinal: 48345800832000 can be written as Forty-eight trillion, three hundred forty-five billion, eight hundred million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.8345800832 × 1013
Factors of 48345800832000
Divisors of 48345800832000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 61 63 64 70 72 75 80 84 90 96 100 105 108 112 120 122 125 126 128 135 140 144 150 160 168 175 180 181 183 189 192 200 210 216 224 225 240 244 250 252 256 270 280 288 300 305 315 320 336 350 360 362 366 375 378 384 400 420 427 432 448 450 480 488 500 504 512 525 540 543 549 560 576 600 610 630 640 672 675 700 720 724 732 750 756 768 800 840 854 864 875 896 900 905 915 945 960 976 1000 1008 1024 1050 1080 1086 1098 1120 1125 1152 1200 1220 1260 1267 1280 1281 1344 1350 1400 1440 1448 1464 1500 1512 1525 1536 1575 1600 1629 1647 1680 1708 1728 1750 1792 1800 1810 1830 1890 1920 1952 2000 2016 2100 2135 2160 2172 2196 2240 2250 2304 2400 2440 2520 2534 2560 2562 2625 2688 2700 2715 2745 2800 2880 2896 2928 3000 3024 3050 3072 3150 3200 3258 3294 3360 3375 3416 3456 3500 3584 3600 3620 3660 3780 3801 3840 3843 3904 4000 4032 4200 4270 4320 4344 4392 4480 4500 4525 4575 4608 4725 4800 4880 4887 5040 5068 5120 5124 5250 5376 5400 5430 5490 5600 5760 5792 5856 6000 6048 6100 6300 6335 6400 6405 6516 6588 6720 6750 6832 6912 7000 7168 7200 7240 7320 7560 7602 7625 7680 7686 7808 7875 8000 8064 8145 8235 8400 8540 8640 8688 8784 8960 9000 9050 9150 9216 9450 9600 9760 9774 10080 10136 10248 10500 10675 10752 10800 10860 10980 11041 11200 11403 11520 11529 11584 11712 12000 12096 12200 12600 12670 12800 12810 13032 13176 13440 13500 13575 13664 13725 13824 14000 14400 14480 14640 15120 15204 15250 15360 15372 15616 15750 16000 16128 16290 16470 16800 17080 17280 17376 17568 17920 18000 18100 18300 18900 19005 19200 19215 19520 19548 20160 20272 20496 21000 21350 21504 21600 21720 21960 22082 22400 22625 22806 22875 23040 23058 23168 23424 23625 24000 24192 24400 24435 25200 25340 25600 25620 26064 26352 26880 27000 27150 27328 27450 27648 28000 28800 28960 29280 30240 30408 30500 30744 31232 31500 31675 32000 32025 32256 32580 32761 32940 33123 33600 34160 34209 34560 34752 35136 35840 36000 36200 36600 37800 38010 38400 38430 39040 39096 40320 40544 40725 40992 41175 42000 42700 43200 43440 43920 44164 44800 45250 45612 45750 46080 46116 46336 46848 47250 48000 48384 48800 48870 50400 50680 51240 52128 52704 53375 53760 54000 54300 54656 54900 55205 56000 57015 57600 57645 57920 58560 60480 60816 61000 61488 62464 63000 63350 64000 64050 64512 65160 65522 65880 66246 67200 67875 68320 68418 68625 69120 69504 70272 72000 72400 73200 75600 76020 76800 76860 77287 78080 78192 80640 81088 81450 81984 82350 84000 85400 86400 86880 87840 88328 89600 90500 91224 91500 92232 92672 93696 94500 95025 96000 96075 96768 97600 97740 98283 99369 100800 101360 102480 104256 105408 106750 107520 108000 108600 109312 109800 110410 112000 114030 115200 115290 115840 117120 120960 121632 122000 122175 122976 126000 126700 128000 128100 130320 131044 131760 132492 134400 135750 136640 136836 137250 138240 139008 140544 144000 144800 146400 151200 152040 153720 154574 156160 156384 158375 160125 161280 162176 162900 163805 163968 164700 165615 168000 170800 171045 172800 173760 175680 176656 179200 181000 182448 183000 184464 185344 187392 189000 190050 192000 192150 193536 195200 195480 196566 198738 201600 202720 203625 204960 205875 208512 210816 213500 216000 217200 218624 219600 220820 224000 228060 229327 230400 230580 231680 231861 234240 241920 243264 244000 244350 245952 252000 253400 256200 260640 262088 263520 264984 268800 271500 273280 273672 274500 276025 278016 281088 285075 288000 288225 289600 292800 294849 298107 302400 304080 307440 309148 312320 312768 316750 320250 322560 324352 325800 327610 327936 329400 331230 336000 341600 342090 345600 347520 351360 353312 362000 364896 366000 368928 378000 380100 384000 384300 386435 390400 390960 393132 397476 403200 405440 407250 409920 411750 417024 421632 427000 432000 434400 437248 439200 441640 448000 456120 458654 461160 463360 463722 468480 475125 480375 483840 486528 488000 488700 491415 491904 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4476463040 4496447250 4528880640 4604361984 4717584000 4769712000 4796210400 4946368000 4953463200 5036020920 5115957760 5245855125 5283694080 5342077440 5371755648 5395736700 5503848000 5564664000 5595578800 5661100800 5755452480 5870771200 5935641600 5995263000 6043225104 6139149312 6191829000 6290112000 6295026150 6340432896 6359616000 6394947200 6604617600 6677596800 6714694560 6744670875 6906542976 6994473500 7076376000 7162340864 7194315600 7338464000 7419552000 7548134400 7554031380 7631539200 7673936640 7925541120 7993684000 8057633472 8255772000 8346996000 8393368200 8633178720 8806156800 8903462400 8952926080 8992894500 9208723968 9435168000 9442539225 9539424000 9592420800 9892736000 9906926400 10072041840 10231915520 10491710250 10567388160 10684154880 10743511296 10791473400 11007696000 11129328000 11191157600 11322201600 11510904960 11990526000 12086450208 12383658000 12580224000 12590052300 12719232000 12789894400 13209235200 13355193600 13429389120 13489341750 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53420774400 53717556480 53957367000 55252343808 55955788000 56611008000 57554524800 60432251040 62950261500 63949472000 64461067776 66046176000 66775968000 67146945600 69065429760 71623408640 71943156000 75540313800 76739366400 79255411200 80576334720 83933682000 86331787200 88061568000 89034624000 89529260800 92087239680 94425392250 95924208000 96691601664 99069264000 100720418400 107435112960 107914734000 111911576000 113222016000 115109049600 120864502080 125900523000 127898944000 128922135552 132092352000 133551936000 134293891200 138130859520 143886312000 151080627600 153478732800 158510822400 161152669440 167867364000 172663574400 179058521600 188850784500 191848416000 193383203328 198138528000 201440836800 214870225920 215829468000 223823152000 230218099200 241729004160 251801046000 255797888000 264184704000 267103872000 268587782400 276261719040 287772624000 302161255200 322305338880 335734728000 345327148800 358117043200 377701569000 383696832000 386766406656 396277056000 402881673600 431658936000 447646304000 460436198400 483458008320 503602092000 537175564800 575545248000 604322510400 644610677760 671469456000 690654297600 755403138000 767393664000 792554112000 805763347200 863317872000 895292608000 966916016640 1007204184000 1074351129600 1151090496000 1208645020800 1342938912000 1381308595200 1510806276000 1611526694400 1726635744000 1790585216000 1933832033280 2014408368000 2302180992000 2417290041600 2685877824000 3021612552000 3223053388800 3453271488000 4028816736000 4834580083200 5371755648000 6043225104000 6906542976000 8057633472000 9669160166400 12086450208000 16115266944000 24172900416000 48345800832000
- Sum of all divisors σ(n): 208711920867840
- Sum of proper divisors (its aliquot sum) s(n): 160366120035840
- 48345800832000 is an abundant number, because the sum of its proper divisors (160366120035840) is greater than itself. Its abundance is 112020319203840
Bases of 48345800832000
- Binary: 10101111111000011000100100100011110100000000002
- Hexadecimal: 0x2BF86248F400
- Base-36: H4XR5KAO0
Squares and roots of 48345800832000
- 48345800832000 squared (483458008320002) is 2337316458087411892224000000
- 48345800832000 cubed (483458008320003) is 112999435964049690987809753530368000000000
-
The
square root of 48345800832000 is 6953114.4699335995 -
The
cube root of 48345800832000 is 36429.4755897779
Scales and comparisons
How big is 48345800832000?- 48,345,800,832,000 seconds is equal to 1,537,246 years, 48 weeks.
-
To count from 1 to 48,345,800,832,000 would take you about three million, eight hundred forty-three thousand, one hundred seventeen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 48345800832000 cubic inches would be around 3035.8 feet tall.
Recreational maths with 48345800832000
- 48345800832000 backwards is 00023800854384
- 48345800832000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48345800832000's digits is 45
- More coming soon!
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MLA style:
"Number 48345800832000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 48345800832000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/48345800832000/
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The information we have on file for 48345800832000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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